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The symbol $(\bot)$ usually represents the least element of a lattice. The least element often goes at the bottom part of a Hasse diagram. That is maybe the reason you're looking for. For example, in a Hasse diagram containing propositions with the logical consequence relation, one usually put falsehood, at the bottom of the diagram, mostly because from a ...


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It just means that the condition $0 \le c_1 g(n) \le f(n) \le c_2 g(n)$ only needs to hold for large enough integers. This allows you to ignore all integers that are smaller than $n_0$ so you can just pick $n_0$ as large as needed for the inequalities to hold. Notice that you do not need to pick $n_0$ as the smallest integer with that property, so you might ...


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